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Finding the Fourth Proportional to 213.47, 294.57 and 120.25

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Solution

The fourth proportional to 213.47, 294.57 and 120.25 is: 165.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.47 : 294.57 = 120.25 : x
  2. Step 2: Convert to fraction form
    213.47/294.57 = 120.25/x
  3. Step 3: Cross multiply
    213.47x = 294.57 × 120.25
  4. Step 4: Simplify right side
    213.47x = 35,422.04
  5. Step 5: Solve for x
    x = 35,422.04/213.47
  6. Step 6: Final answer
    x = 165.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.